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Finding the Third Proportional to 140,745.94 and 218,259.56

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Solution

The third proportional to 140,745.94 and 218,259.56 is: 338,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,745.94 : 218,259.56 = 218,259.56 : x
  2. Step 2: Convert to fraction form
    140,745.94/218,259.56 = 218,259.56/x
  3. Step 3: Cross multiply
    140,745.94x = 218,259.56 × 218,259.56
  4. Step 4: Simplify right side
    140,745.94x = 47,637,236,622.69
  5. Step 5: Solve for x
    x = 47,637,236,622.69/140,745.94
  6. Step 6: Final answer
    x = 338,462.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.